106016629 has 8 divisors (see below), whose sum is σ = 109216800. Its totient is φ = 102849936.

The previous prime is 106016609. The next prime is 106016633. The reversal of 106016629 is 926610601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106016629 - 2¹¹ = 106014581 is a prime.

It is a super-2 number, since 2×106016629² = 22479051249047282, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106016629.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106016609) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1867 + ... + 14680.

It is an arithmetic number, because the mean of its divisors is an integer number (13652100).

Almost surely, 2^106016629 is an apocalyptic number.

It is an amenable number.

106016629 is a deficient number, since it is larger than the sum of its proper divisors (3200171).

106016629 is a wasteful number, since it uses less digits than its factorization.

106016629 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16739.

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 106016629 is about 10296.4376849472. The cubic root of 106016629 is about 473.2870958714.

It can be divided in two parts, 1060 and 16629, that added together give a square (17689 = 133²).

The spelling of 106016629 in words is "one hundred six million, sixteen thousand, six hundred twenty-nine".